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arXiv 0903.0435hep-th
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超对称Chern-Simons-Matter理论中的R-荷、手征环和RG流

R-charges, Chiral Rings and RG Flows in Supersymmetric Chern-Simons-Matter Theories

Vasilis Niarchos

摘要:

本文讨论了N=2超共形Chern-Simons理论中U(1)R对称性在规范群(U(N))的(反)基本表象和伴随表象中的非微扰行为.约束这种行为的不等式得到的后果自发破缺的超对称性和Seiberg对偶。这一信息揭示了一个网络的RG流连接不同的相互作用超共形场论在三维空间。我们观察到,这些理论的子类承认ADE分类。此外,我们假设了N=2和N=3的Chern-Simons物质理论中Seiberg对偶的新例子,并指出了与四维N=1(伴随)SQCD理论中熟悉的非微扰性质的有趣相似之处,其中精确的U(1)_R对称性可以使用α-最大化来确定。

英文摘要:

We discuss the non-perturbative behavior of the U(1)_R symmetry in N=2 superconformal Chern-Simons theories coupled to matter in the (anti)fundamental and adjoint representations of the gauge group, which we take to be U(N). Inequalities constraining this behavior are obtained as consequences of spontaneous breaking of supersymmetry and Seiberg duality. This information reveals a web of RG flows connecting different interacting superconformal field theories in three dimensions. We observe that a subclass of these theories admits an ADE classification. In addition, we postulate new examples of Seiberg duality in N=2 and N=3 Chern-Simons-matter theories and point out interesting parallels with familiar non-perturbative properties in N=1 (adjoint) SQCD theories in four dimensions where the exact U(1)_R symmetry can be determined using a-maximization.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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